For every symmetric quasi-Banach space inside the Lorentz space Λ log, the paper constructs and proves optimal (smallest) symmetric quasi-Banach range spaces for the Calderón operator, the Hilbert transform, and the triangular truncation operator.
Boyd, The Hilbert transform on rearrangement-invariant spaces, Can
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The optimal range of the Calder\`{o}n operator and its applications
For every symmetric quasi-Banach space inside the Lorentz space Λ log, the paper constructs and proves optimal (smallest) symmetric quasi-Banach range spaces for the Calderón operator, the Hilbert transform, and the triangular truncation operator.